What is 5(csc(x)-1/x) ?

The solution to 5(csc(x)-1/x) is (5(csc(x)x-1))/x

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simplify 5(csc(x)-1/x)

simplify

5 (csc (x) - \frac{1}{x})

\frac{5 ( csc ( x ) x - 1 )}{x}

Solution steps

5 (csc (x) - \frac{1}{x})

Join

csc (x) - \frac{1}{x} : \frac{csc ( x ) x - 1}{x}

= 5 \cdot \frac{csc ( x ) x - 1}{x}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{5 ( csc ( x ) x - 1 )}{x}

(x - 3) (x + 0.5) (x - \frac{1}{3})

- \frac{1}{( 3 ) ( 1 - ln ( 3 ) )}

10 (2157 - 25)

\frac{3 x ^{3} + 6 x ^{2} + 3 x + 4}{x ^{2} ( x ^{2} + 1 )}

(x^{4} + 2 x^{2} + 2) l e f t (x^{2} - 2 x + 3)